SRJC Course Outlines

4/15/2024 12:43:05 AMMATH 25 Course Outline as of Summer 2011

Changed Course

Discipline and Nbr:  MATH 25Title:  PRECALCULUS ALGEBRA  
Full Title:  Precalculus Algebra
Last Reviewed:2/8/2021

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum3.00Lecture Scheduled3.0017.5 max.Lecture Scheduled52.50
Minimum3.00Lab Scheduled06 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total3.00 Contact Total52.50
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  105.00Total Student Learning Hours: 157.50 

Title 5 Category:  AA Degree Applicable
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 

Catalog Description:
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Topics from college algebra, including analytic geometry, functions and their graphs, complex numbers, sequences and series.  

Completion of MATH 155 or higher (V1)

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description: Untitled document
Topics from college algebra, including analytic geometry, functions and their graphs, complex numbers, sequences and series.  
(Grade Only)

Prerequisites:Completion of MATH 155 or higher (V1)
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP


Associate Degree:Effective:Fall 1981
Communication and Analytical Thinking
Math Competency
CSU GE:Transfer Area Effective:Inactive:
 B4Math/Quantitative ReasoningFall 2006
IGETC:Transfer Area Effective:Inactive:
 2AMathematical Concepts & Quantitative ReasoningFall 2006
CSU Transfer:TransferableEffective:Fall 2006Inactive:
UC Transfer:TransferableEffective:Fall 2006Inactive:

Certificate/Major Applicable: Both Certificate and Major Applicable


Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon completion of the course, students will be able to:
1.  Perform advanced operations with functions (using symbolic,
     graphical, and numerical representations) and apply knowledge to
     modeling problems.
2.  Define and graph inverse functions.
3.  Define and apply characteristics of functions (including
     intercepts, turning points, intervals of positive/negative,
     increasing/decreasing value, transformations, symmetry) in graphing
     polynomial, rational, absolute value, radical, exponential, and logarithmic
4.  Solve selected algebraic equations over the complex numbers.
5.  Solve algebraic equations graphically and symbolically, including
     absolute value, polynomial, radical, rational, logarithmic, and
6.  Graph circles, functions, and parametric equations.
7.  Graph asymptotes and recognize a hole in the graph.
8.  Perform operations with complex numbers.  

Topics and Scope
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I.    Equations and Inequalities
       A.  Graphical and algebraic solutions to radical and quadratic-form
             equations, and to absolute value equations and inequalities
       B.  Solutions to systems of nonlinear equations
II.   Complex Numbers
       A.  Definition
       B.  Operations with complex numbers
III.  Analysis of Functions and Their Graphs
       A.  Definition
       B.  Notation
       C.  Domain
       D.  Range
       E.  Operations, including difference quotients and composition of functions
       F.  Catalog of functions
       G.  Symmetry
       H.  Even and odd functions
       I.   Shifts
       J.   Scaling
       K.  Reflections of graphs, along with modeling
IV.  Polynomial and Rational Functions
       A.  Linear, quadratic, polynomial functions of higher degree and
             their graphs
       B.  Graphs of rational functions
       C.  Asymptotes and holes
       D.  Introduction to limit concepts and notation
       E.  Solutions of polynomial and rational equations and inequalities, using
              real numbers and complex numbers as appropriate
V.   Inverse, Exponential and Logarithmic Functions
       A.  Definitions
       B.  Properties
       C.  Graphs
       D.  Equations
       E.  Applications
VI.  Sequences and Series
       A.  Finite and infinite geometric sequences and series
       B.  Summation of powers of integers
VII. Topics from Analytic Geometry
       A.  Midpoint and distance formulas
       B.  Circles
       C.  Parametric equations  

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1.  Daily reading outside of class (20-50 pages per week).
2.  Problem set assignments from required text(s) or supplementary
      materials chosen by the instructor (1-6 per week).
3.  Quizzes (0-4 per week).
4.  Exams (3-8 per term).
5.  Projects (for example, computer explorations or modeling activities, 0-10 per term).

Methods of Evaluation/Basis of Grade.
Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.Writing
0 - 0%
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.Problem Solving
5 - 20%
Homework problems
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.Skill Demonstrations
0 - 0%
Exams: All forms of formal testing, other than skill performance exams.Exams
70 - 95%
Multiple choice and free response exams; quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.Other Category
0 - 10%

Representative Textbooks and Materials:
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College Algebra (6th ed). by Stewart, Redlin and Watson; 2012
College Algebra Enhanced with Graphing Utilities (5th ed.).  Sullivan, Michael and
Sullivan III, Michael.  Prentice Hall:  2009.

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